n+2(n+1)=62-3(4+2)

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Solution for n+2(n+1)=62-3(4+2) equation: 


Simplifying
n + 2(n + 1) = 62 + -3(4 + 2)

Reorder the terms:
n + 2(1 + n) = 62 + -3(4 + 2)
n + (1 * 2 + n * 2) = 62 + -3(4 + 2)
n + (2 + 2n) = 62 + -3(4 + 2)

Reorder the terms:
2 + n + 2n = 62 + -3(4 + 2)

Combine like terms: n + 2n = 3n
2 + 3n = 62 + -3(4 + 2)

Combine like terms: 4 + 2 = 6
2 + 3n = 62 + -3(6)

Multiply -3 * 6
2 + 3n = 62 + -18

Combine like terms: 62 + -18 = 44
2 + 3n = 44

Solving
2 + 3n = 44

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 3n = 44 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = 44 + -2
3n = 44 + -2

Combine like terms: 44 + -2 = 42
3n = 42

Divide each side by '3'.
n = 14

Simplifying
n = 14

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